Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added Elements of Plane and Spherical TrigonometryW. E. Dean, 1840 - 317 sider |
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Side 13
... equal to one another ; therefore the straight line AL is equal to BC . Wherefore , from the given point A , a ... angles contained by those sides equal to one another , their bases , or third sides , shall be equal ; and the areas of the ...
... equal to one another ; therefore the straight line AL is equal to BC . Wherefore , from the given point A , a ... angles contained by those sides equal to one another , their bases , or third sides , shall be equal ; and the areas of the ...
Side 14
... equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is equal to DF ... angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to ...
... equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is equal to DF ... angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to ...
Side 15
... equal to the angle GCB , which are the angles upon the other side of the base . COROLLARY . Hence every equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which ...
... equal to the angle GCB , which are the angles upon the other side of the base . COROLLARY . Hence every equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which ...
Side 16
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle . FDC is likewise greater than BCD ...
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle . FDC is likewise greater than BCD ...
Side 17
... Geometry of Solids; to which are Added Elements of Plane and Spherical ... equal to one another , and like- wise their sides terminated in the other ... angles . A Let BAC be the given rectilineal angle , it is required to bisect ...
... Geometry of Solids; to which are Added Elements of Plane and Spherical ... equal to one another , and like- wise their sides terminated in the other ... angles . A Let BAC be the given rectilineal angle , it is required to bisect ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore